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Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces

arXiv:1312.6012 · doi:10.1016/j.aim.2016.10.026

Abstract

We show that the rate of mixing of the Weil-Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.

12 pages. 4 figures